Prime Factorization of 165
"Prime Factorization" Calculator
What is the Prime Factorization of 165?
Explanation of number 165 Prime Factorization
Prime Factorization of 165 it is expressing 165 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 165.
Since number 165 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 165, we have to iteratively divide 165 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 165:
The smallest Prime Number which can divide 165 without a remainder is 3. So the first calculation step would look like:
165 ÷ 3 = 55
Now we repeat this action until the result equals 1:
55 ÷ 5 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 165. It is: 3, 5, 11
Prime Factor Tree of 165
We may also express the prime factorization of 165 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
"Prime Factorization" Calculator
Prime Factorization Table
FAQ
What is the Prime Factorization of 165?
How many prime factors does 165 have?
See Also
- Prime factors of 155
- Prime factors of 156
- Prime factors of 157
- Prime factors of 158
- Prime factors of 159
- Prime factors of 160
- Prime factors of 161
- Prime factors of 162
- Prime factors of 163
- Prime factors of 164
- Prime factors of 166
- Prime factors of 167
- Prime factors of 168
- Prime factors of 169
- Prime factors of 170
- Prime factors of 171
- Prime factors of 172
- Prime factors of 173
- Prime factors of 174
- Prime factors of 175
- Простые множители числа 165